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Recent investigations suggest that the discrete linear unitary group $U(N)$ can be represented by interlacing a finite sequence of diagonal phase operations with an intervening unitary operator. However, despite rigorous numerical…

Quantum Physics · Physics 2025-06-12 Matthew Markowitz , Mohammad-Ali Miri , Alexey Ovchinnikov , Kevin Zelaya

This paper develops a new approach for estimating an interpretable, relational model of a black-box autonomous agent that can plan and act. Our main contributions are a new paradigm for estimating such models using a minimal query interface…

Artificial Intelligence · Computer Science 2021-04-12 Pulkit Verma , Shashank Rao Marpally , Siddharth Srivastava

We prove a number of results motivated by global questions of uniformity in computability theory, and universality of countable Borel equivalence relations. Our main technical tool is a game for constructing functions on free products of…

Logic · Mathematics 2020-01-20 Andrew S Marks

This chapter presents a state-of-the-art survey of relationships, traditionally referred to as `bridges', between interpolation properties for propositional logics -- including superintuitionistic, modal, and substructural logics -- and…

Logic · Mathematics 2025-12-02 George Metcalfe

Implicit Personalization (IP) is a phenomenon of language models inferring a user's background from the implicit cues in the input prompts and tailoring the response based on this inference. While previous work has touched upon various…

Computation and Language · Computer Science 2024-11-01 Zhijing Jin , Nils Heil , Jiarui Liu , Shehzaad Dhuliawala , Yahang Qi , Bernhard Schölkopf , Rada Mihalcea , Mrinmaya Sachan

It was recently shown that the theory of linear stochastic systems can be viewed as a particular case of the theory of linear systems on a certain commutative ring of power series in a countable number of variables. In the present work we…

Functional Analysis · Mathematics 2011-04-11 Daniel Alpay , Haim Attia

Understanding human behavior from observed data is critical for transparency and accountability in decision-making. Consider real-world settings such as healthcare, in which modeling a decision-maker's policy is challenging -- with no…

Machine Learning · Statistics 2023-11-01 Alihan Hüyük , Daniel Jarrett , Mihaela van der Schaar

Understanding why a model makes a certain prediction can be as crucial as the prediction's accuracy in many applications. However, the highest accuracy for large modern datasets is often achieved by complex models that even experts struggle…

Artificial Intelligence · Computer Science 2017-11-28 Scott Lundberg , Su-In Lee

Two models of opinion dynamics are entangled in order to build a more realistic model of inflexibility. The first one is the Galam Unifying Frame (GUF), which incorporates rational and inflexible agents, and the other one considers the…

Physics and Society · Physics 2013-07-16 André C. R. Martins , Serge Galam

Images encode both the state of the world and its content. The former is useful for tasks such as planning and control, and the latter for classification. The automatic extraction of this information is challenging because of the…

Artificial Intelligence · Computer Science 2020-12-09 Christine Allen-Blanchette , Kostas Daniilidis

Collective intelligence is manifested when multiple agents coherently work in observation, interaction, decision-making and action. In this paper, we define and quantify the intelligence level of heterogeneous agents group with the improved…

Artificial Intelligence · Computer Science 2019-05-29 Anna Dai , Zhifeng Zhao , Honggang Zhang , Rongpeng Li , Yugeng Zhou

Existing approaches for generating human-aware agent behaviors have considered different measures of interpretability in isolation. Further, these measures have been studied under differing assumptions, thus precluding the possibility of…

Artificial Intelligence · Computer Science 2021-04-23 Sarath Sreedharan , Anagha Kulkarni , David E. Smith , Subbarao Kambhampati

Interaction models describe distributed systems as algebraic terms, with gates marking interaction points between local views. Composing local models into a coherent global one requires aligning these gates while respecting the algebraic…

Formal Languages and Automata Theory · Computer Science 2025-12-09 Joel Nguetoum , Boutheina Bannour , Pascale Le Gall , Erwan Mahe

Quantum superposition is often phrased as the ability to add state vectors. In practice, however, the physical quantity is a ray (a rank-one projector), so each input specifies only a projector and leaves a gauge freedom in the phases of…

Quantum Physics · Physics 2026-01-22 Jeongho Bang , Kyoungho Cho , Ki Hyuk Yee

Theory interpolation has found several successful applications in model checking. We present a novel method for computing interpolants for ground formulas in the theory of equality. The method produces interpolants from colored congruence…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Fuchs , Amit Goel , Jim Grundy , Sava Krstić , Cesare Tinelli

The Integrated Information Theory provides a quantitative approach to consciousness and can be applied to neural networks. An embodied agent controlled by such a network influences and is being influenced by its environment. This involves,…

Neurons and Cognition · Quantitative Biology 2021-11-30 Carlotta Langer , Nihat Ay

The uniform information density (UID) hypothesis states that humans tend to distribute information roughly evenly across an utterance or discourse. Early evidence in support of the UID hypothesis came from Genzel & Charniak (2002), which…

Computation and Language · Computer Science 2023-10-19 Vivek Verma , Nicholas Tomlin , Dan Klein

This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality that says that a group of agents shares a knowledge about a…

Artificial Intelligence · Computer Science 2008-01-16 Pierre Lescanne

The notion that cooperation can aid a group of agents to solve problems more efficiently than if those agents worked in isolation is prevalent, despite the little quantitative groundwork to support it. Here we consider a primordial form of…

Adaptation and Self-Organizing Systems · Physics 2014-10-22 José F. Fontanari

Agents are a special kind of AI-based software in that they interact in complex environments and have increased potential for emergent behaviour. Explaining such emergent behaviour is key to deploying trustworthy AI, but the increasing…

Artificial Intelligence · Computer Science 2024-10-02 Victor Gimenez-Abalos , Sergio Alvarez-Napagao , Adrian Tormos , Ulises Cortés , Javier Vázquez-Salceda